Study of Higgs boson decay to $W$ bosons at Muon Collider.

Muon collisions at multi-TeV center-of-mass energies are ideal for studying Higgs boson properties. At energies of the order of few TeV, the production rates will allow precise measurements of Higgs couplings to fermions and bosons. The $H\rightarrow WW^{*}$ process is of particular interest since the production mechanism is dominated by $WW$-fusion at these energies. This contribution aims to present the result obtained so far on the cross-section of the Higgs boson decay into $W$ boson pair by studying the $\mu^{+} \mu^{-}\rightarrow H(WW^{*})\nu \bar{\nu}$ process. The study has been performed with a detailed simulation of the detector effects on signal and physics background events and by evaluating the effects of the beam-induced background on the detector performance. The evaluations of the sensitivity on the measurement of cross-section $\sigma(H\rightarrow WW^{*})$ will be discussed at a center-of-mass energy of $3 {TeV}$.